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404_HW8_F11
Course: CS 91.404, Fall 2011School: UMass Lowell
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CS Analysis UML of Algorithms 91.404 (section 201) Homework Set #8 Fall, 2011 Assigned: Wednesday, 11/9 Due: Friday, 11/18 (start of lecture) This assignment covers textbook material in Chapters 10-11. Note: Partial credit for wrong answers is only given if work is shown. 1. (40 points) Linked Lists: (adapted from Algorithm Design by Goodrich and Tamassia) Design an efficient "link-hopping"...
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CS
Analysis UML of Algorithms 91.404 (section 201) Homework Set #8
Fall, 2011
Assigned: Wednesday, 11/9
Due: Friday, 11/18 (start of lecture)
This assignment covers textbook material in Chapters 10-11. Note: Partial credit for wrong answers is only given if work is shown.
1. (40 points) Linked Lists: (adapted from Algorithm Design by Goodrich and Tamassia) Design an efficient "link-hopping" algorithm for finding the middle node of a doubly linked list with head and tail pointers and an odd number of nodes. You are not allowed to use a counter; just link-hopping. Provide pseudocode, correctness justification, and upper and lower bounds on the worst-case running time.
2. (20 points) Hashing: Consider inserting keys 9, 5, 11, 1, 6 the in order given into a hash table of length m = 7 using hash function h(k) = 2k2 mod m. a) Using h(k) as the primary hash function, illustrate the result of inserting these keys using open addressing with linear probing. b) Using h(k) as the primary hash function, illustrate the result of inserting these keys using open addressing with quadratic probing, where c1=2 and c2=1. c) Using h(k) as the hash function, illustrate the result of inserting these keys using chaining. Compute the load factor for the hash table resulting from the insertions. d) What different values can the hash function h(k) = 2k2 mod m produce when m = 7? Carefully justify your answer.
3. (40 points) Chapter 11: Textbook Problem 11-1 on p. 282 (a) - (d).
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UMass Lowell - CS - 91.404
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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UMass Lowell - MATH - 141
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